This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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339
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Type:
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Topic Contributed
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Date/Time:
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Tuesday, August 3, 2010 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Nonparametric Statistics
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Abstract - #306701 |
Title:
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Constrained Nonparametric Estimation Using Ranked-Set Sampling with a Covariate
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Author(s):
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Jesse Frey*+
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Companies:
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Villanova University
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Address:
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, Villanova, PA, 19085,
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Keywords:
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Concomitant ;
Convexity ;
Judgment post-stratification ;
Maximum likelihood estimation ;
Stratified sampling ;
Woodruff confidence intervals
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Abstract:
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Ranked-set sampling and judgment post-stratification are related schemes in which more efficient statistical inference is obtained by creating a stratification based on ranking information. The rankings that are used may be completely subjective, or they may be based on values of a covariate. Recent work has shown that regardless of how the rankings are done, the in-stratum cumulative distribution functions (CDFs) must satisfy certain constraints, and these constraints may be used to obtain better estimates of the in-stratum CDFs, the overall CDF, and the population mean. We show here that if the rankings are done according to a covariate, then tighter constraints must hold. We also show that under a mild stochastic ordering assumption, still tighter constraints must hold. Taking advantage of these new constraints leads to improved estimation of key population parameters.
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Authors who are presenting talks have a * after their name.
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